4D-Cable-Kinematics (P_4L)

4D-Cable-Kinematics (P_4L) 1:

The 4D-Cable Kinematics (P_4L) is structured as shown in the above schematic.

The zero point of the machine coordinate system (MCS) can be anywhere in space. The hooks of the cable/rope are defined starting from the MCS origin.

All motor axes are scaled in millimeters, the arrow indicating the positive direction.

Parameters for joint hooks

Parameter

Description

Type

Unit

Hook 1

Hook of the first cable

 

 

X-shift

X-position of Hook 1 in relation to the MCS

LREAL

mm

Y-shift

Y-position of Hook 1 in relation to the MCS

LREAL

mm

Z-shift

Z-position of Hook 1 in relation to the MCS

LREAL

mm

Hook 2

Hook of the second cable

 

 

X-shift

X-position of Hook 2 in relation to the MCS

LREAL

mm

Y-shift

Y-position of Hook 2 in relation to the MCS

LREAL

mm

Z-shift

Z-position of Hook 2 in relation to the MCS

LREAL

mm

Hook 3

Hook of the third cable

 

 

X-shift

X-position of Hook 3 in relation to the MCS

LREAL

mm

Y-shift

Y-position of Hook 3 in relation to the MCS

LREAL

mm

Z-shift

Z-position of Hook 3 in relation to the MCS

LREAL

mm

Hook 4

Hook of the fourth cable

 

 

X-shift

X-position of Hook 4 in relation to the MCS

LREAL

mm

Y-shift

Y-position of Hook 4 in relation to the MCS

LREAL

mm

Z-shift

Z-position of Hook 4 in relation to the MCS

LREAL

mm

TCP

Tool Center Point

 

 

TCP length

Distance between the hooks at the TCP along the X-axis

LREAL

mm

TCP width

Distance between the hooks at the TCP along the Y-axis

LREAL

mm

General Parameters for the Kinematics

General parameters that apply to any kinematics are described in the following sections:

For all kinematics with tool also applies:

Requirements

Development Environment

Installation Package

Target System

TwinCAT Function

TwinCAT V3.1.4024.7

TF5400 TwinCAT 3 Advanced Motion Pack V3.1.10.30

PC or CX (x86 or x64)

TF5112 TwinCAT 3 Kinematic Transformation (Level 3)